Theorems · Theorem · group theory

AddAction.IsBlock.stabilizer_le

∀ {G : Type u_1} [inst : AddGroup G] {X : Type u_2} [inst_1 : AddAction G X] {B : Set X},
  AddAction.IsBlock G B → ∀ {a : X}, a ∈ B → AddAction.stabilizer G a ≤ AddAction.stabilizer G B

If B is a block containing a, then the stabilizer of B contains the stabilizer of a

Defined in

Mathlib.GroupTheory.GroupAction.Blocks

Cited by

1 results in Mathlib

Foundations

Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddGroupAddAction